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mathematics
precalculus

Questions and Answers of Precalculus

In problem, solve each inequality. Graph the solution set.x3 + 4x2 ≥ x + 4
In problem, find the complex zeros of each polynomial function. Write f in factored form.f(x) = x4 + 13x2 + 36
In problem, solve each inequality algebraically. |(x – 3)(x + 2) |(x x – 1
In problem, follow Steps 1 through 8 to analyze the graph of each function.R(x) = 8x2 + 26x + 15/2x2 - x - 15
In problem, use transformations of the graph of y = x4 or y – x5 to graph each function.f(x) = (x + 2)4 – 3
In problem, graph each rational function using transformations.H(x) = -2/x + 1
In problem, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.f(x) = x5 - 6x2 + 9x - 3
In problem, solve each inequality. Graph the solution set.x3 + x2 < 4x + 4
In problem, find the complex zeros of each polynomial function. Write f in factored form.f(x) = x4 + 5x2 + 4
In problem, solve each inequality algebraically. (x – 1)(x + 1)
In problem, follow Steps 1 through 8 to analyze the graph of each function.R(x) = 6x2 - 7x – 3/2x2 - 7x + 6
In problem, use transformations of the graph of y = x4 or y – x5 to graph each function.f(x) = (x - 1)5 + 2
In problem, use transformations of the graph of y = x4 or y – x5 to graph each function.f(x) = -x4
In problem, graph each rational function using transformations.R(x) = 3/x
In problem, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.f(x) = x5 - x4 + 2x2 + 3
In problem, find the complex zeros of each polynomial function. Write f in factored form.f(x) = x3 + 13x2 + 57x + 85
In problem, discuss each rational function following the eight steps. (х — 1)2 х2 — 1 F(x) :
In problem, solve each inequality algebraically. x - 3 >0 x + 1
In problem, follow Steps 1 through 8 to analyze the graph of each function.R(x) = x2 + 3x – 10/x2 + 8x + 15
In problem, use transformations of the graph of y = x4 or y – x5 to graph each function.f(x) = -x5
In problem, graph each rational function using transformations.R(x) = 1/(x - 1)2
In problem, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.f(x) = 3x4 - 3x3 + x2 - x + 1
In problem, find the complex zeros of each polynomial function. Write f in factored form.f(x) = x3 - 8x2 + 25x – 26
In problem, discuss each rational function following the eight steps. - 4 G(x) : x² - x – 2
In problem, follow Steps 1 through 8 to analyze the graph of each function.R(x) = x2 + x – 12/x2 – x - 6
In problem, solve each inequality algebraically.x + 1/x – 1 > 0
In problem, use transformations of the graph of y = x4 or y – x5 to graph each function.f(x) = 3x5
In problem, graph each rational function using transformations.Q(x) = 3 + 1/x2
In problem, tell the maximum number of real zeros that each polynomial function may have. Do not attempt to find the zeros.f(x) = x6 + 1
In problem, find the complex zeros of each polynomial function. Write f in factored form.f(x) = x4 - 1
In problem, discuss each rational function following the eight steps. R(x) x2 - 9
In problem, follow Steps 1 through 8 to analyze the graph of each function. (x – 1)(x + 2)(x – 3) x(x – 4)2 R(x)
In problem, use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor f over the real numbers.f(x) = x3 + 8x2 + 11x – 20
In problem, find the vertical, horizontal, and oblique asymptotes, if any, of each rational function. G(x) x2 - 5x – 14
In problem, find a rational function that might have the given graph. X = -1 X = 1 Уд 3 y = 0 -3 3» -3
In problem, find the remainder R when f(x) is divided by g(x). Is g a factor of f?f(x) = 2x3 + 8x2 - 5x + 5; g(x) = x - 2
In problem, form a polynomial function whose real zeros and degree are given.Zeros: -3, -1, 2, 5; degree 4
In problem, solve each inequality algebraically. x(x² + 1)(x – 2) (x – 1)(x + 1) (*
In problem, use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor f over the real numbers.f(x) = x3 + 2x2 - 5x – 6
In problem, find the vertical, horizontal, and oblique asymptotes, if any, of each rational function. H(x) = x' - 8 x² – 5x + 6
In problem, find a rational function that might have the given graph. X= -2 Уд X = 2 Fy = 1 -3 3х -3
In problem, find the remainder R when f(x) is divided by g(x). Is g a factor of f?f(x) = 8x3 - 3x2 + x + 4; g(x) = x – 1
In problem, form a polynomial function whose real zeros and degree are given.Zeros: -4, -1, 2, 3; degree 4
In problem, solve each inequality algebraically. x²(3 + x)(x + 4) (x + 5)(x – 1)
In problem, find the vertical, horizontal, and oblique asymptotes, if any, of each rational function.R(x) = 3x + 5/x - 6
In problem, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.f(x) = -6x3 - x2 + x + 10
In problem, solve each inequality. Graph the solution set. x(x² + x – 2) x² + 9x + 20
f(x) is a polynomial function of degree 4 whose coefficients are real numbers; two of its zeros are -3 and 4 - i. Explain why one of the remaining zeros must be a real number. Write down one of the
In problem, form a polynomial function whose real zeros and degree are given.Zeros: -4, 0, 2; degree 3
In problem, solve each inequality algebraically. 3 х — 3 х+1
In problem, follow Steps 1 through 8 to analyze the graph of each function.f(x) = 2x + 9/x3
In problem, find the vertical, horizontal, and oblique asymptotes, if any, of each rational function.R(x) = 3x/x + 4
In problem, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.f(x) = 6x4 + 2x3 - x2 + 20
In problem, solve each inequality. Graph the solution set. x2 - 8x + 12 >0 x - 16
f(x) is a polynomial function of degree 4 whose coefficients are real numbers; three of its zeros are 2, 1 + 2i, and 1 – 2i. Explain why the remaining zero must be a real number.
In problem, form a polynomial function whose real zeros and degree are given.Zeros: -3, 0, 4; degree 3
In problem, solve each inequality algebraically. 2 х — 2 Зх — 9
In problem, follow Steps 1 through 8 to analyze the graph of each function.f(x) = x + 1/x3
In problem, graph each rational function using transformations.R(x) = x – 4/x
In problem, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.f(x) = 3x5 - x2 + 2x + 18
In problem, solve each inequality. Graph the solution set. x(x - 5)
In problem, explain why the facts given are contradictory.f(x) is a polynomial function of degree 3 whose coefficients are real numbers; its zeros are 2, i, and 3 + i.
In problem, form a polynomial function whose real zeros and degree are given.Zeros: -2, 2, 3; degree 3
In problem, solve each inequality algebraically. - 4 2x + 4
In problem, follow Steps 1 through 8 to analyze the graph of each function.f(x) = 2x2 + 16/x
In problem, graph each rational function using transformations.R(x) = x2 – 4/x2
In problem, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.f(x) = 2x5 - x3 + 2x2 + 12
In problem, solve each inequality. Graph the solution set. (х — 2)(х — 1) х — 3
In problem, explain why the facts given are contradictory.f(x) is a polynomial function of degree 3 whose coefficients are real numbers; its zeros are 4 + i, 4 - i, and 2 + i.
In problem, form a polynomial function whose real zeros and degree are given.Zeros: -1, 1, 3; degree 3
In problem, solve each inequality algebraically. Зх — 5 х +2 х
In problem, follow Steps 1 through 8 to analyze the graph of each function.f(x) = x2 + 1/x
In problem, graph each rational function using transformations.F(x) = 2 – 1/x + 1
In problem, list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.f(x) = -4x3 + x2 + x + 6
In problem, solve each inequality. Graph the solution set. 3 – 2x 2 2x + 5
In problem, find the complex zeros of each polynomial function. Write f in factored form.f(x) = 2x4 + x3 - 35x2 - 113x + 65
In problem, solve each inequality algebraically. x + 2
In problem, follow Steps 1 through 8 to analyze the graph of each function.f(x) = 2x + 9/x
In problem, use transformations of the graph of y = x4 or y – x5 to graph each function.f(x) = 3 - (x + 2)4
In problem, graph each rational function using transformations.G(x) = 1 + 2/(x - 3)2
In problem, solve each inequality. Graph the solution set. 2х — 6 2 1 — х
In problem, use transformations of the graph of y = x4 or y – x5 to graph each function.f(x) = 1/4 x4
In problem, graph each rational function using transformations.F(x) = 2 + 1/x
In problem, tell the maximum number of real zeros that each polynomial function may have. Do not attempt to find the zeros.f(x) = x6 – 1
In problem, find the complex zeros of each polynomial function. Write f in factored form.f(x) = x3 – 1
In problem, discuss each rational function following the eight steps. 2x4 R(x) (x – 1)²
In problem, solve each inequality algebraically.x4 > 1
In problem, follow Steps 1 through 8 to analyze the graph of each function.R(x) = x(x - 1)2/(x + 3)2
In problem, use transformations of the graph of y = x4 or y – x5 to graph each function.f(x) = x4 + 2
In problem, solve each inequality algebraically.x4 < 9x2
In problem, use transformations of the graph of y = x4 or y – x5 to graph each function.f(x) = x5 – 3
In problem, discuss each rational function following the eight steps. F(x) x² – 4
In problem, discuss each rational function following the eight steps. х2 +х — 6 х R(x) x2 — х — 6
In problem, discuss each rational function following the eight steps. x + 2 x(x – 2) Н(х) —
In problem, follow Steps 1 through 8 to analyze the graph of each function.F(x) = x2 – 3x – 4/x + 2
The price p (in dollars) and the quantity x sold of a certain product obey the demand equationP = -1/10 x + 150(a) Express the revenue R as a function of x.(b) What is the revenue if 100 units are
In problem, find the domain of each rational function. R(x) = 3(x - x - 6) 2 4(x - 9)
In problem, follow Steps 1 through 8 to analyze the graph of each function.R(x) = 3/(x - 1)2 (x2 - 4)
In problem, use the Remainder Theorem to find the remainder when f(x) is divided by x - c. Then use the Factor Theorem to determine whether x - c is a factor of f(x).f(x) = 4x6 - 64x4 + x2 - 15; x + 4
In problem, information is given about a polynomial function f(x) whose coefficients are real numbers. Find the remaining zeros of f.Degree 4; zeros: 2 -i, -i

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